Noyce Foundation
Tri-Triangles
Develop an understanding of algebraic sequences through an exploration of patterns. Five leveled problems target grade levels from elementary through high school. Each problem asks young mathematicians to recognize a geometric pattern....
California Education Partners
Animals of Rhomaar
Investigate the growth rates of alien animals. Pupils study fictional animals from another planet to determine how much they grow per year. The investigators plot the growth of their animals over a period of time and then compare...
Education Development Center
Distance, Rate, and Time—Walking Home
Dig into a classic math problem with your classes. Through an engaging task, learners work with rate and distance information to make conclusions. In the task, two people walk at different rates; one leaves first, and scholars...
Concord Consortium
Swimming Pool II
Combine geometry and algebra concepts to solve a modeling problem. Young scholars consider the effect surface area has on volume. They write a cubic function to model the possible volume given a specific surface area and then...
Curated OER
Factoring Polynomials
For this Algebra II/college level worksheet, students use the discriminate to determine if a polynomial has factors with integral coefficients and factor polynomials, including factoring by pulling out the GCF and factoring by grouping....
Curated OER
Solving Quadratic Equations
In this Algebra II instructional activity, 11th graders solve quadratic equations by factoring, completing the square, and the quadratic formula. Application problems are included. The two page instructional activity contains...
Curated OER
Properties of Logarithms
In this algebra worksheet, 11th graders solve logarithmic problems using the properties of logs. They condense and expand logs using the correct properties. There are 78 problems with an answer key.
Curated OER
Piecewise Practice Problems
For this algebra worksheet, students validate continuity of a graph by a defined interval as well as determine continuity of a piecewise function.
Illustrative Mathematics
Transforming the graph of a function
This activity guides learners through an exploration of common transformations of the graph of a function. Given the graph of a function f(x), students generate the graphs of f(x + c), f(x) + c, and cf(x) for...
Illustrative Mathematics
Distance across the channel
Here you will find a model of a linear relationship between two quantities, the water depth of a channel and the distance across the channel at water level. The cross section of the channel is the shape of an isosceles trapezoid. The...
Illustrative Mathematics
Fixing the Furnace
This comprehensive resource applies simultaneous equations to a real-life problem. Though the commentary starts with a graph, some home consumers may choose to begin with a table. A graph does aid learners to visualize the shift of one...
Illustrative Mathematics
Peaches and Plums
According to the resource graph, which costs more: peaches or plums? Algebra learners compare two proportional relationships and then throw in a banana. Leaving out the scale helps learners become intuitive about graphing.
Illustrative Mathematics
Ice Cream
Algebra learners can always relate to ice cream. In this case, a carton of ice cream has been at room temperature for t minutes. Given an expression for the temperature of the ice cream, it is up to your number crunchers to...
EngageNY
Lines That Pass Through Regions
Good things happen when algebra and geometry get together! Continue the exploration of coordinate geometry in the third instructional activity in the series. Pupils explore linear equations and describe the points of intersection with a...
Mathematics Assessment Project
Bestsize Cans
Traditional calculus problem made simple. In the high school assessment task, learners determine the minimum surface area for a can of a given volume using algebraic and numerical methods to solve the problem. No calculus...
EngageNY
Complex Numbers as Vectors
Show your math class how to use vectors in adding complex numbers. Vectors represent complex numbers as opposed to points in the coordinate plane. The class uses the geometric representation to add and subtract complex numbers and...
Curated OER
Sum Choice
In this algebraic thinking worksheet, students are provided with the challenge of finding the sum of 100 by adding up a given list of 2 digit numbers. This worksheet contains 1 problem to solve and the solution.
Curated OER
Writing Mathematical Equations
In this algebraic equations worksheet, 7th graders write an algebraic equation with one variable for each problem. Students then solve the problem.
Curated OER
Relations and Functions
In this relations and functions worksheet, students identify the constant of variation. They write equations that represent a given relationship. This one-page worksheet contains two problems.
Curated OER
Missing Numbers in Equations (B)
In this missing numbers in equations instructional activity, students practice their math skills as they solve the 32 division equations.
Curated OER
Common Monomial Factors
In this algebra learning exercise, students identify common monomials. They factor polynomials and simplify equations. There are 2 questions with an answer key.
Curated OER
Mr. Payne Word Search Puzzle
In this language arts instructional activity, students study 10 words in a word bank, then locate them in a word search puzzle. The words appear to be related to algebra; the meaning of the title is not known. There is one misspelled...
Curated OER
Properties of Real Numbers
In this properties of real numbers worksheet, 9th graders solve 10 different problems that include applying various properties for real numbers. First, they identify the property of real numbers that is demonstrated in each problem....
Curated OER
Fibonacci Trick
In this algebra worksheet, students solve a puzzle starting with two single digit numbers and eventually conclude that the answer can be used with Fibonacci's pattern. There are 11 steps to the puzzle with a provided answer.
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